Henry's Jewelry Store receives a shipment of 500 jewelry pieces.At this rate.If Henry's Jewelry Store places an order for 5,500 jewelry pieces,how many should they expect to be damaged. They should expect blank pieces of jewelry to be damaged.

Answer:

I believe its C i saw this yesterday somewhere not 100% sure

Step-by-step explanation:

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Complete Question

A committee has six members. There are three members that currently serve as the​ board's chairman comma vice chairman comma and treasurer . Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman comma vice chairman comma and treasurer . What is the probability of randomly selecting the three members who currently hold the positions of chairman comma vice chairman comma and treasurer and reassigning them to their current​ positions?

The probability is ?

Answer:

The probability is \(P(3 ) = \frac{ 1 }{20 }\)

Step-by-step explanation:

From the question we are told that

       The total number of members is  n = 6  

       The  number of member to be selected is  r =  3  

Generally the number of ways of selecting 3 members from 6  is mathematically evaluated as

          \(\left n } \atop {}} \right. C _r = \frac{n! }{(n-r ) ! r !}\)

=>       \(\left 6 } \atop {}} \right. C _ 3 = \frac{6 ! }{(6-3) ! 3 !}\)

=>        \(\left n } \atop {}} \right. C _r = \frac{6* 5* 4 * 3! }{3 ! 3*2 * 1}\)

=>       \(\left n } \atop {}} \right. C _r = \frac{6* 5* 4 }{3 *2 * 1}\)

=>        \(\left n } \atop {}} \right. C _r =20\)

Now the number of ways of selecting the 3 members who currently hold the position is  n  = 1

  So the probability is mathematically represented as

                 \(p(k ) = \frac{ n }{\left n } \atop {}} \right. C _r }\)

substituting values

                  \(P(3 ) = \frac{ 1 }{20 }\)

Here we have a polynomial of even degree with positive leading coefficient, so the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → ∞

How is the end behavior of F(x)?

Here we have the function:

F(x) = 2x^4 - x^3 + 5x - 9

For any polynomial of even degree, we will have the same end behavior in both ends of the domain.

If the leading coefficient is positive, in both ends the function will tend to infinity.

If the leading coefficient is negative, in both ends the function will tend to negative infinity.

In the case of our function:

F(x) = 2*x^4 - x^3 + 5x - 9

We can see that the leading coefficient is 2, so it is positive, which means that the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → ∞

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Answer:

the first one because x's don't repeat in this one

Step-by-step explanation:

The mean of the sampling distribution is 606060 and the standard deviation is 871.78.

As long as the sample size is sufficient (usually, n 30), the central limit theorem implies that if we repeatedly take random samples from a population, the sampling distribution of the sample means will resemble a normal distribution, regardless of the form of the population distribution. This indicates that given the sample mean and standard deviation, we may utilise the normal distribution to draw conclusions about the population mean. Because it enables us to estimate population parameters even when we don't know the population distribution, the central limit theorem is significant.

Given that,

n = 757575

p = 80% = 0.8

q = 1 - 0.8 = 0.2

The mean of the binomial distribution is given as:

Mean: μ = np = (757575)(0.8) = 606060

The standard deviation of the binomial distribution is given as:

σ = √(npq) = √((757575)(0.8)(0.2)) = 871.78

Hence, the mean of the sampling distribution is 606060 and the standard deviation is 871.78.

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The present age of Melody is 9 and her sister is 24 .

the two digit number is 39

How to find the ages of a person ?

Consider the difference between the individual's birthdate and the present day: days = current day - birth date. Age = (years 365) + (months 31) + days should be replaced with these variations. The individual's age is expressed in days. To get the age in years, divide the outcome by 365.

Let present age of melody be y and her sister age be x

Four years ago  age of Melody be (y - 4) and her sister age be (x - 4)

After six years age of Melody be (y + 6) and her sister age be (x + 6)

∴ \(\frac{(x-4)}{4} = (y - 4)\)

\(\frac{(x+6)}{2} = (y + 6)\)

The equation becomes

x + 6 = 2y + 12

x = 2y +6  ⇒ (1)

x - 4 = 4y -16

x = 4y - 12 ⇒(2)

Solving (1) and (2)

x - 2y = 6

x - 4y = -12

  2y = 18

    y = 9

Substituting the value of y in eq(1)

x = 2*9 + 6

x = 18 +6

x = 24

Let xy be the two digit number.  

10x + y

The value of this number is 6 less (-6) than five times the unit digit (5y).  So:

10x + y = 5y - 6

The sum of the digits of the 2-digit number is 12:

x + y = 12

So y = 12 - x

Substitute 12-x for y:

10x + y = 5y - 6

10x + 12 - x = 5(12-x) - 6      [Substituted 12-x in place of y]

9x + 12 = 60 - 5x - 6

14x = 42

x = 3

y = 12 - x

  = 12 - 3

  = 9

The two digit number is 39

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The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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To simplify a polynomial expression, we can expand parentheses by multiplying the terms within with the coefficient outside of them and add like terms.

\(3x(-2x + 7) - 5(x - 1)(4x - 3)\)

⇒ Open up the parentheses

\(=(3x*(-2x) + 3x*7) - 5(x(4x - 3)-1(4x-3))\\=(-6x^2 + 21x) - 5(4x^2 - 3x-4x+3)\\=-6x^2 + 21x - 5(4x^2 - 7x+3)=-6x^2 + 21x - (20x^2 - 35x+15)\\=-6x^2 + 21x - 20x^2 + 35x-15\\=- 26x^2 + 56x-15\)

\(- 26x^2 + 56x-15\)

Answer:

y=3/4x-2

a=(8/3,0)

b=(0,-2)

m=3/4

Step-by-step explanation:

STEP 1

3x-4y =8 substract 3x from both sides

-4y=-3x+8 divide -4 to everything

y=3/4x-2

STEP 2

substitute 0 for y and solve for a (x-intercept)

Answer:

128/375

Step-by-step explanation:

16/25 divided by 15/8​

16/25 X 8/15 = 128/375

​

Given

(x^4 + 3x^3 y^2 + 4x^2y + 8xy + 12x)*( 11x^2y^3)​

Procedure

The answer is 11x^6y^3+33x^5y^5+44x^4y^4+132x^3y^3

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:8

Step-by-step explanation:8x1=8

The conversion from degree to radian will be 180° = π radian. Then the measure of angle 75° is 1.31 radians.

Conversion means to convert the same thing into different units.

Convert the degree measure to the radian measure.

⇒ 75°

We know the conversion is given as

180° = π radian

   1° = π/180°

Then we have

75° = 75° x π/180° radian

75° = 1.30899 radian

75° ≅ 1.31 radian

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

1 plus 1 equal 3

Step-by-step explanation:

1 = 1

41 -40 = 61 -60

16+25-40 = 36+ 25-60

(4-5)^2 = (6-5)^2

then remove power square

4-5=6-5

4=6-5+5

4= 6

then divide by 2

2=3

1+1 =3

Answer:

2

Step-by-step explanation:

First you have to add 1 + 1 that equals 2 Ex: if you have 1 apple and someone gives you one more how much do you have hope this helps

The margin error M.E. that corresponds to a sample of size 22 with a mean of 69.3 and a standard deviation of 8.6 at a confidence level of 95% is 0.04694

We would utilize the t distribution in the estimation of the margin of error because the population standard deviation is unknown (and the sample size is less than 30).

Error margin = t-critical * standard deviation/square root sample size

It is given in the above question that,

Standard deviation is given as = 8.6

And, the Sample size which is given is = 22

Also, the confidence level which given is = 95%

Then the alpha will be = 100% - 95%

= 5% = 0.05

Now, the critical value, t would be = alpha / 2

= 0.05 /2 = 0.025

Also, the sample we'll consider will be = given sample size - 1 = 22 -1 = 21

To find the margin error, we'll put all the values in the formula

Error margin = t-critical * standard deviation/square root sample size

=  \(\frac{0.025 * 8.6}{\sqrt{21} }\)

= 0.215 / 4.58

= 0.04694

Hence, the margin error M.E. that corresponds to a sample of size 22 with a mean of 69.3 and a standard deviation of 8.6 at a confidence level of 95% is 0.04694

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Answer:

m∠1 = 105°

m∠2 = 75°

Step-by-step explanation:

From the picture attached,

Two lines 'a' and 'b' are parallel and a transversal 't' is intersecting these lines at two distinct lines.

Therefore, m∠2 = 75° [Corresponding angles measure the same]

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]

m∠1 + 75° = 180°

m∠1 = 105°

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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The value of the angle U from the calculation is 88 degrees.

The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).

By the use of the sine rule;

u/Sin U = w/Sin W

Thus;

76/Sin U = 71/Sin 69

Sin U = 76Sin 69/71

U = Sin-1 (76Sin 69/71)

U = 88 degrees

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Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.